4x+13=nx+13

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Solution for 4x+13=nx+13 equation: 


Simplifying
4x + 13 = nx + 13

Reorder the terms:
13 + 4x = nx + 13

Reorder the terms:
13 + 4x = 13 + nx

Add '-13' to each side of the equation.
13 + -13 + 4x = 13 + -13 + nx

Combine like terms: 13 + -13 = 0
0 + 4x = 13 + -13 + nx
4x = 13 + -13 + nx

Combine like terms: 13 + -13 = 0
4x = 0 + nx
4x = nx

Solving
4x = nx

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1nx' to each side of the equation.
-1nx + 4x = nx + -1nx

Combine like terms: nx + -1nx = 0
-1nx + 4x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1n + 4) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-1n + 4)' equal to zero and attempt to solve:

Simplifying
-1n + 4 = 0

Reorder the terms:
4 + -1n = 0

Solving
4 + -1n = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Add 'n' to each side of the equation.
-1n + n = -4 + n

Combine like terms: -1n + n = 0
0 = -4 + n

Simplifying
0 = -4 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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